Question

In Indiana, the minimum wage a server earns hourly is $2.13. Let us consider that a server can make $5.00 from each table in their section of the restaurant. Construct a linear model from the problem above. (Do not use the $ symbol.)

A) y = 5x
B) y = 2.13x
C) y = 2.13 + 5x
D) y = 7.13x
[Use the model to estimate the earnings from attending 7 tables]

Answer 1

The correct linear model for a server's earnings in Indiana, including subminimum wage and tips per table, is y = 2.13 + 5x. For serving 7 tables, a server would earn $37.13 according to this model.

Step-by-step explanation:

The question involves constructing a linear model to represent the earnings of a server in Indiana, where the server makes a subminimum hourly wage plus tips from each table served. To calculate the total earnings (y) for a given number of tables (x), we must include both the hourly rate and the tips per table. The server earns a constant hourly wage of $2.13 and an additional $5.00 for each table served. Therefore, the linear model that represents the server's total earnings would be y = 2.13 + 5x, where x is the number of tables served. The model asserts that for every table served, the server adds $5.00 to their total earnings on top of the hourly base pay.

Using this model, to estimate the earnings from attending 7 tables, we substitute x with 7: y = 2.13 + 5(7) = 2.13 + 35 = 37.13. So, a server would earn $37.13 for serving 7 tables, according to the linear model.